Kvantifikator

Kvantifikator is a term used in logic and mathematics to describe quantifiers, which are operators that specify the quantity of elements in a set that satisfy a given condition. The two primary types of quantifiers are universal and existential.

A universal quantifier, denoted by the symbol ∀, asserts that a given property holds for all elements in a specified domain. For example, the statement "∀x ∈ ℝ, x^2 ≥ 0" means that for all real numbers x, the square of x is greater than or equal to zero.

An existential quantifier, denoted by the symbol ∃, asserts that there exists at least one element in a specified domain that satisfies a given condition. For example, the statement "∃x ∈ ℝ, x^2 = 4" means that there exists at least one real number x such that the square of x equals four.

Quantifiers are fundamental in formal logic and are used to construct well-formed formulas in predicate logic. They enable the expression of complex statements and the formulation of logical arguments. The use of quantifiers allows for the precise specification of conditions and the exploration of the relationships between different elements within a given domain.